Finding the Third Proportional to 1,205,824 and 1,866,264

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205,824 : 1,866,264 = 1,866,264 : x
2. Step 2: Convert to fraction form
   1,205,824/1,866,264 = 1,866,264/x
3. Step 3: Cross multiply
   1,205,824x = 1,866,264 × 1,866,264
4. Step 4: Simplify right side
   1,205,824x = 3,482,941,317,696
5. Step 5: Solve for x
   x = 3,482,941,317,696/1,205,824
6. Step 6: Final answer
   x = 2,888,432.57